I have a Schwinn Searcher Sport 2011 Hybrid Bike, with a damaged seat post.
Thus, I require a 26.8mm seat post with suspension. In India, I have searched, but I am not able to find a suitable seat post.
How can I obtain a suitable seat post?
I would suggest any site like Amazon, EBay, or craigslist even. I just skimmed through and Amazon, as well as EBay have a good assortment of seat posts in that size.
If you want an actual bike shop website, try using Wiggle. It is something of a surplus store, so they have a pretty decent selection at decent prices.
Your seat post size seems to be fairly common, so I don't think you should have any problems finding something that works for you.
A fast look at bikecomponents. Look at the SUSPENSION SEATPOST section.